Beijing Institute of Mathematical Sciences and Applications

In this course, I present a self-consistent review of fault-tolerant quantum computation using the surface code. The course covers everything required to understand topological fault-tolerant quantum computation, ranging from the definition of the surface code to topological quantum error correction and topological operations on the surface code. In the process, basic concepts and powerful tools, such as universal quantum computation, quantum algorithms, stabilizer formalism, and measurement-based quantum computation, are also introduced.